radius of convergence

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• April 18th 2010, 03:32 PM
GTO
radius of convergence
determine the disc of convergence of the following and then determine the points on the boundary of the disc where the series converges.

$\Sigma_{k=0} ^\infty ke^{-k} z^k$
$\Sigma_{k=2} ^\infty (log k)^{log k} (z-3)^k$

please help me